Method, system, device for proving authenticity of an entity...

Details Method, system, device for proving authenticity of an entity... Method, system, device for proving authenticity of an entity...

H - Electricity

04

L

H04L 9/32 (2006.01)

Patent

CA 2386748

The invention concerns a method whereby the proof is established by: m(>= 1) pairs of private Q i and public G i = g i2 values; a public module n formed by the product of f(>=2) prime factors; an exponent v = 2k (k > 1), linked by the relationships of the type: G i .Q i v .ident. 1. mod n or G i .ident. Q i v mod n. Among the m numbers obtained by increasing Q i or its inverse modulo n to modulo n square, k-1 times rank, at least one of them is different from ~ g i. Among the 2m equations: x2 .ident. g i mod n, x2 .ident. -g i mod n, at least one of them has solutions in x in the ring of modulo n integers.

La preuve est établie au moyen de: m (>/= 1) couples de valeurs privées Qi et publiques Gi = gi<2>, un module public n constitué par le produit de f (>/= 2) facteurs premiers, un exposant v = 2<k> (k> 1), liés par des relations du type: Gi.Qi<v> 1.mod n ou GiQi<v> mod n. Parmi les m nombres obtenus en élevant Qi ou son inverse modulo n au carré modulo n, k-1 fois de rang, au moins l'un d'entre eux est différent de +/- gi. Parmi les 2m équations: x<2> gi mod n; x<2> - gi mod n, au moins l'une d'entre elles a des solutions en x dans l'anneau des entiers modulo n.

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